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Finding the Third Proportional to 1,609,043,864 and 2,460,350,098

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Solution

The third proportional to 1,609,043,864 and 2,460,350,098 is: 3,762,061,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,043,864 : 2,460,350,098 = 2,460,350,098 : x
  2. Step 2: Convert to fraction form
    1,609,043,864/2,460,350,098 = 2,460,350,098/x
  3. Step 3: Cross multiply
    1,609,043,864x = 2,460,350,098 × 2,460,350,098
  4. Step 4: Simplify right side
    1,609,043,864x = 6,053,322,604,728,609,792
  5. Step 5: Solve for x
    x = 6,053,322,604,728,609,792/1,609,043,864
  6. Step 6: Final answer
    x = 3,762,061,892.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.